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Finding the Third Proportional to 380,883.09 and 557,304.05

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Solution

The third proportional to 380,883.09 and 557,304.05 is: 815,441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,883.09 : 557,304.05 = 557,304.05 : x
  2. Step 2: Convert to fraction form
    380,883.09/557,304.05 = 557,304.05/x
  3. Step 3: Cross multiply
    380,883.09x = 557,304.05 × 557,304.05
  4. Step 4: Simplify right side
    380,883.09x = 310,587,800,663.25
  5. Step 5: Solve for x
    x = 310,587,800,663.25/380,883.09
  6. Step 6: Final answer
    x = 815,441.29

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.